Journal ArticleDOI
Second-order scalar-tensor field equations in a four-dimensional space
TLDR
In this article, the second-order Euler-Lagrange tensors are derived from a Lagrangian which is at most of second order in the derivatives of the field functions.Abstract:
Lagrange scalar densities which are concomitants of a pseudo-Riemannian metric-tensor, a scalar field and their derivatives of arbitrary order are considered. The most general second-order Euler-Lagrange tensors derivable from such a Lagrangian in a four-dimensional space are constructed, and it is shown that these Euler-Lagrange tensors may be obtained from a Lagrangian which is at most of second order in the derivatives of the field functions.read more
Citations
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Journal ArticleDOI
Trial of Galileon gravity by cosmological expansion and growth observations
TL;DR: Galileon gravity is a robust theoretical alternative to general relativity with a cosmological constant for explaining cosmic acceleration, with interesting properties such as having second order field equations and a shift symmetry as discussed by the authors.
Book ChapterDOI
From Lovelock to Horndeski’s Generalized Scalar Tensor Theory
TL;DR: In this article, the Kaluza-Klein reduction of Lovelock theory can lead to scalar-tensor actions including several important terms of Horndeski theory, which can be put to practical use by mapping analytic black hole solutions of one theory to the other.
Journal ArticleDOI
Thermodynamics of charged black holes in Einstein-Horndeski-Maxwell theory
TL;DR: In this paper, the authors studied the thermodynamics of two-parameter families of charged static black holes in an Einstein-Horndeski theory of gravity coupled to a scalar field, by including an electromagnetic field as well.
Journal ArticleDOI
White dwarfs and revelations
TL;DR: In this paper, the authors use the most complete and independent measurements of masses and radii of white dwarfs in binaries to bound the class of non-trivial modified gravity theories, viable after GW170817/GRB1708 17, using its effect on the mass-radius relation of the stars.
Journal ArticleDOI
On the quantisation of complex higher derivative theories and avoiding the Ostrogradsky ghost
Martti Raidal,Hardi Veermäe +1 more
TL;DR: In this article, it was shown that a stable interacting complex higher-derivative theory can be canonically quantized. But the complexity of the complex theory is not fixed.
References
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Journal ArticleDOI
Mach's principle and a relativistic theory of gravitation
Carl H. Brans,R. H. Dicke +1 more
TL;DR: In this paper, the role of Mach's principle in physics is discussed in relation to the equivalence principle and the difficulties encountered in attempting to incorporate Mach's principles into general relativity are discussed.
Journal ArticleDOI
The Einstein Tensor and Its Generalizations
TL;DR: In this paper, the number of independent tensors of this type depends crucially on the dimension of the space, and, in the four dimensional case, the only tensors with these properties are the metric and the Einstein tensors.
Journal ArticleDOI
Comments on the scalar-tensor theory
TL;DR: In this article, the ponderomotive laws of a scalar-tensor theory are constructed free of approximations in the form of integral laws, and the integrals are extended over two-and three-dimensional domains that lie entirely in empty space but surround the regions containing matter.
Journal ArticleDOI
The uniqueness of the einstein field equations in a four-dimensional space.
TL;DR: In this article, the Euler-Lagrange equations corresponding to a Lagrange density which is a function of g ≥ 2 and its first two derivatives are investigated and necessary and sufficient conditions for these equations to be of second order are obtained and it is shown that in a four-dimensional space the Einstein field equations (with cosmological term) are the only permissible second order Euler Lagrange equations.
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